Three people A, B, and C are assigned work. The table below shows the actual work done by A and B and the maximum time taken by each to complete their...

Question

Three people A, B, and C are assigned work. The table below shows the actual work done by A and B and the maximum time taken by each to complete their work:

PeopleActual Work Done (Units)Maximum Time Taken (Hours)
A5010
B6012
C?15

If C works in cycles of 1 hour working followed by 15 minutes rest, repeating this pattern until the total 15 hours are completed, and C's efficiency is 20% more than the average of the minimum efficiencies of A and B, find the total work done by C (in units).

Options

A.

72 units

B.

74 units

C.

75 units

D.

79 units

E.

78 units

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